Samples

library(modelr)
library(recipes)

Basic samples

Perform a basic 70:30 split

set.seed(20180409)
brent_dt %>% 
  modelr::resample_partition(c(train=0.7,test=0.3)) ->
  splits
splits %>% 
  pluck("train") %>% 
  as_tibble()->
  train_raw
splits %>% 
  pluck("test") %>% 
  as_tibble()->
  test_raw

Start our recipe for processing our data

train_raw %>% 
  recipe( .)  %>%
  add_role(any_purchase, new_role = "outcome") %>% 
  add_role(email_user_id, new_role = "id") %>% 
  add_role(everything(),-any_purchase, -email_user_id, new_role = "predictor")->
  starter_recipe
starter_recipe
Data Recipe

Inputs:

      role #variables
        id          1
   outcome          1
 predictor        188

Perform some steps to remove columns and fill in missing country

starter_recipe %>% 
  step_rm(has_role("id")) %>% 
  step_corr(all_numeric())  %>% 
  step_bagimpute(country_code, seed_val = 42) %>% 
  step_other(country_code) %>%  
  step_zv(all_predictors())  %>% 
  prep(train_raw) ->
  filter_recipe
filter_recipe
Data Recipe

Inputs:

      role #variables
        id          1
   outcome          1
 predictor        188

Training data contained 69362 data points and 13773 incomplete rows. 

Operations:

Variables removed email_user_id [trained]
Correlation filter removed h10_clicks, h11_clicks, h6_clicks, h8_clicks, ... [trained]
Bagged tree imputation for country_code [trained]
Collapsing factor levels for country_code [trained]
Zero variance filter removed no terms [trained]
train_b <- bake(filter_recipe, newdata = train_raw) 
test_b  <- bake(filter_recipe, newdata = test_raw) 
train_b

Perform numeric standardisation steps.

train_b %>% 
  recipe(any_purchase~.) %>% 
  step_center(all_numeric()) %>% 
  step_scale(all_numeric()) %>% 
  prep(train_b) ->
  standardise_recipe
standardise_recipe
Data Recipe

Inputs:

      role #variables
   outcome          1
 predictor        135

Training data contained 69362 data points and no missing data.

Operations:

Centering for member_rating, holiday_open_prop, ... [trained]
Scaling for member_rating, holiday_open_prop, ... [trained]
train_std <- bake(standardise_recipe, train_b) 
test_std  <- bake(standardise_recipe, test_b) 
train_std

Oversample training purchases

set.seed(20180101)
filter_recipe %>% 
  step_upsample(all_outcomes(), ratio= .25) %>% 
  prep(retain=TRUE) %>% 
  juice() %>% 
  # hack because juice isn't reducing the column set
  bake(filter_recipe, .) ->
  train_up
print(paste("New rows:", nrow(train_up)- nrow(train_b)))
[1] "New rows: 15726"

Now standardise it

train_ups <- bake(standardise_recipe, train_up) 

Synthesised training purchases

library(synthpop)
brent_dt %>% 
  filter(any_purchase=="TRUE") %>% 
  bake(filter_recipe,.) %>% 
  syn(k=30000)  ->
  synth_purchases
Sample(s) of size 30000 will be generated from original data of size 1836.

Variable any_purchase has only one value so its method has been changed to "constant".
Variable any_purchase removed as predictor because only one value.
syn  variables
1    member_rating country_code any_purchase X2016.04.Early.Access.Coupon X6.Month.DBA.Training.Plan Blog.Posts DBAreactions.Tuesdays...Fridays First.Responder.Kit.Updates Monday.Links...our.favorite.SQL...tech.news.from.the.week SQL.Server.Updates
     Unknown.recd X2017.05.Intersection.Orlando.Pre.Con X2017.05.SQLDay.Poland.Pre.Con X6.Month.DBA.Plan Clients Contact.Form Dell.DBA.Days.2016 EBook.Setup FeedBurner First.Responder.Kit
     iTunes.Rating MailOrderDBAs.com Members OptinMonster...BrentOzar.com Sitewide.Footer SQLServerUpdates.com Unknown.Signup.Source..Before.2014.Sept. Unknown.source Watch.Brent.Tune.Queries Webcast.Drawing
     Webcast.Registration holiday_open_prop weekday_open_raw weekday_open_prop weekend_open_raw weekend_open_prop h0_opens h1_opens h10_opens h11_opens
     h12_opens h13_opens h14_opens h2_opens h3_opens h4_opens h5_opens h6_opens h7_opens h8_opens
     h9_opens h0_opensactive h1_opensactive h10_opensactive h11_opensactive h12_opensactive h13_opensactive h14_opensactive h2_opensactive h3_opensactive
     h4_opensactive h5_opensactive h6_opensactive h7_opensactive h8_opensactive h9_opensactive h0_opensprop h1_opensprop h10_opensprop h11_opensprop
     h12_opensprop h13_opensprop h14_opensprop h2_opensprop h3_opensprop h4_opensprop h5_opensprop h6_opensprop h7_opensprop h8_opensprop
     h9_opensprop holiday_clicks_prop weekday_clicks_prop weekend_clicks_raw weekend_clicks_prop h0_clicks h1_clicks h12_clicks h13_clicks h14_clicks
     h2_clicks h3_clicks h4_clicks h7_clicks h0_clickactive h1_clickactive h10_clickactive h11_clickactive h12_clickactive h13_clickactive
     h14_clickactive h2_clickactive h3_clickactive h4_clickactive h5_clickactive h6_clickactive h7_clickactive h8_clickactive h9_clickactive h0_clickprop
     h1_clickprop h10_clickprop h11_clickprop h12_clickprop h13_clickprop h14_clickprop h2_clickprop h3_clickprop h4_clickprop h5_clickprop
     h6_clickprop h7_clickprop h8_clickprop h9_clickprop topic_8_B_clicks topic_NA_B_clicks topic_NA_nB_clicks topic_8_B_prop topic_8_nB_prop topic_NA_B_prop
     topic_NA_nB_prop topic_8_B_active topic_NA_B_active topic_NA_nB_active never_opened never_clicked
synth_purchases %>% 
  pluck("syn") %>% 
  union(train_b) %>% 
  sample_n(nrow(.)) ->
  train_syn
train_syn_std<- bake(standardise_recipe,train_syn) 

Preparing

We’ll want to build models against our training sets so let’s save some code by making a big list we can map models to.

train_sets<-list(
  "Basic"=train_b,
  "Standardised"=train_std,
  "Upsampled"=train_up,
  "Upsampled & Standardised"=train_ups,
  "Synthesised"=train_syn,
  "Synthesised & Standardised" =train_syn_std
)

Let’s remove a high RAM object.

rm("filter_recipe")

Models - Basic glms

library(broom)
library(ggplot2)
train_sets %>% 
  map(~glm(any_purchase~  member_rating+ First.Responder.Kit+ Unknown.recd+ Monday.Links...our.favorite.SQL...tech.news.from.the.week+ weekday_open_prop + weekday_clicks_prop, 
           data=.,
           family="binomial",
           y=FALSE,x=FALSE,model=FALSE))  ->
  basic_glm

saveRDS(basic_glm, "../outputs/glms.rds")
basic_glm %>% 
  map_df(tidy, .id = "set") %>% 
  filter(term!="(Intercept)") %>% 
  ggplot(aes(x=term, y=estimate, colour=set)) +
  geom_point(alpha=.5, size=3)  +
  coord_flip() +
  ggthemes::theme_fivethirtyeight()+
  geom_hline(aes(yintercept=0), colour="darkgrey", linetype="dashed")

Attributes with values consistently above 0 (dashed line) increase likelihood to buy training, and those below reduce the likelihood. The further away from the 0, the greater the impact.

library(optiRum)
vals_to_conv<-seq(-1.5,1,by=0.5)
data_frame(Coefficient=vals_to_conv,
           `Odds Ratio (p/p-1)`= round(logit.odd(vals_to_conv),2),
           `Probability` = round(logit.prob(vals_to_conv),2))

Models - Basic tree models

library(FFTrees)
train_sets %>% 
  map(~dplyr::select(mutate(., any_purchase=as.logical(any_purchase)),
              member_rating:weekend_open_prop, 
              holiday_clicks_prop:weekend_clicks_prop)) %>% 
  map(~FFTrees(any_purchase~., .,
               goal="bacc",do.comp = FALSE,progress = FALSE)) ->
  basic_trees
saveRDS(basic_trees, "../outputs/trees.rds")
basic_trees %>% 
  map_df(~cbind(.$tree.definitions,.$tree.stats$train),.id = "set") ->
  basic_tree_results
basic_tree_results

The chart shows different trees built using the different data sets and the balanced accuracy measure. Balanced accuracy is average of the proportion of purchases correctly classified and the proportion of non-purchases correctly classified.

basic_tree_results %>% 
  ggplot(aes(x=cues, y=bacc, colour=set)) +
  geom_point(alpha=.5, size=3)  +
  coord_flip() +
  ggthemes::theme_fivethirtyeight()

We can look at the difference between the correctly classified purchases (red) and the correctly classified non-purchases (grey) for the trees with the highest balanced accuracy. There’s two visible cases:

  1. high accuracy for purchases and low accuracy for non-purchases
  2. OK accuracy for purchases and good accuracy for non-purchases

Selection one of these would depend on the cost of the low accuracy for non-purchases.

basic_tree_results %>% 
  top_n(10, bacc) %>% 
  mutate(cues=stringr::str_wrap(stringr::str_replace_all(cues,";", " "),1)) %>% 
  dplyr::select(cues, sens, spec, set) %>% 
  ggplot(aes(x=set, y=spec, ymax=sens, ymin=spec)) +
  geom_pointrange(alpha=0.3, size=2)+
  geom_point(aes(y=sens), colour="red", size=6)+
  facet_wrap(~cues, ncol=4)+
  ggthemes::theme_fivethirtyeight()

Models - glmnets

glmnets take all our variables and construct a model with them. However, a model with 135 coefficients would be pretty crazy. Instead glmnet downweights coefficients towards 0 as it penalises complexity. As such, even though our model notionally contains all our columns not everything will contribute.

library(glmnet)
library(glmnetUtils)
train_sets %>% 
  map(~cv.glmnet(any_purchase~., data=. ,
              family = "binomial",type.measure="class",
              standardize = FALSE)) ->
  basic_glmnets

saveRDS(basic_glmnets, "../outputs/glmnets.rds")
basic_glmnets %>% 
  map_df(~rownames_to_column(as.data.frame(as.matrix(coefficients(.))),"col"),.id = "set" ) %>% 
  rename(coef=`1`) -> 
  basic_glmnet_coefs
basic_glmnet_coefs %>% 
  filter(coef!=0.000000e+00) %>% 
  filter(col!="(Intercept)") %>% 
  arrange(col) %>% 
  count(col) %>% 
  mutate( pane = row_number() %/% 38) ->
  panes
  
basic_glmnet_coefs %>% 
  inner_join(panes) %>% 
  arrange(desc(col)) %>% 
  mutate(col=fct_inorder(col)) %>% 
  ggplot(aes(x=col, y=coef, colour=set)) +
  geom_point() + 
  coord_flip()+
  facet_wrap(~pane,scales = "free", ncol=5)+
  ggthemes::theme_fivethirtyeight()

The non-standardised types of samples do not work well with glmnet and typically it would have scaled them. We can see which columns (primarily in the standardised samples) make it our models most commonly. These will be the most predictive columns overall.

panes %>% 
  arrange(desc(n)) %>% 
  mutate(col=fct_inorder(col)) %>% 
  mutate( pane = row_number() %/% 38) %>% 
  arrange(desc(col)) %>% 
  mutate(col=fct_inorder(col)) %>% 
  ggplot(aes(x=col, y=n)) +
  geom_col() + 
  coord_flip()+
  facet_wrap(~pane, ncol=5, scales = "free_y")+
  ggthemes::theme_fivethirtyeight()

Models - Complex models via h2o

library(h2o)
options("h2o.use.data.table"=TRUE)
h2o.init(max_mem_size = "8G")

H2O is not running yet, starting it now...

Note:  In case of errors look at the following log files:
    C:\Users\steph\AppData\Local\Temp\RtmpCynpf4/h2o_steph_started_from_r.out
    C:\Users\steph\AppData\Local\Temp\RtmpCynpf4/h2o_steph_started_from_r.err

java version "1.8.0_161"
Java(TM) SE Runtime Environment (build 1.8.0_161-b12)
Java HotSpot(TM) 64-Bit Server VM (build 25.161-b12, mixed mode)

Starting H2O JVM and connecting: . Connection successful!

R is connected to the H2O cluster: 
    H2O cluster uptime:         2 seconds 157 milliseconds 
    H2O cluster version:        3.16.0.2 
    H2O cluster version age:    4 months and 12 days !!! 
    H2O cluster name:           H2O_started_from_R_steph_xwr366 
    H2O cluster total nodes:    1 
    H2O cluster total memory:   7.11 GB 
    H2O cluster total cores:    8 
    H2O cluster allowed cores:  8 
    H2O cluster healthy:        TRUE 
    H2O Connection ip:          localhost 
    H2O Connection port:        54321 
    H2O Connection proxy:       NA 
    H2O Internal Security:      FALSE 
    H2O API Extensions:         Algos, AutoML, Core V3, Core V4 
    R Version:                  R version 3.4.4 (2018-03-15) 
train_sets %>% 
  map(as.h2o) %>% 
  map(~h2o.automl(y = "any_purchase", training_frame = ., seed = 1313, max_runtime_secs = 180)) ->
  basic_automl

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saveRDS(basic_automl, "../outputs/automl.rds")

Evaluation

---
title: "Getting all up in Brent's biz - Candidate Models"
output: 
  html_notebook: 
    code_folding: hide
    toc: yes
    toc_depth: 1
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(warning = FALSE, message = FALSE)
library(tidyverse)
library(dtplyr)
brent_dt<-data.table::fread("../outputs/finaldataset.csv")
brent_dt[, purchase:=NULL]
brent_dt %>% 
  as_tibble() %>% 
  set_tidy_names(syntactic = TRUE) %>% 
  mutate_if(is_logical, factor, levels=c("FALSE","TRUE")) %>% 
  mutate_if(is_character, as_factor) %>% 
  mutate_if(~is.factor(.)&n_distinct(.)!=2, fct_infreq) ->
  brent_dt

do_glm<-!file.exists("../outputs/glms.rds")
do_glmnets<-!file.exists("../outputs/glmnets.rds")
do_trees<-!file.exists("../outputs/trees.rds")
do_automl<-!file.exists("../outputs/autotml.rds")
```

# Samples
```{r}
library(modelr)
library(recipes)
```

## Basic samples

Perform a basic 70:30 split

```{r}
set.seed(20180409)
brent_dt %>% 
  modelr::resample_partition(c(train=0.7,test=0.3)) ->
  splits

splits %>% 
  pluck("train") %>% 
  as_tibble()->
  train_raw

splits %>% 
  pluck("test") %>% 
  as_tibble()->
  test_raw
```

Start our recipe for processing our data

```{r}
train_raw %>% 
  recipe( .)  %>%
  add_role(any_purchase, new_role = "outcome") %>% 
  add_role(email_user_id, new_role = "id") %>% 
  add_role(everything(),-any_purchase, -email_user_id, new_role = "predictor")->
  starter_recipe

starter_recipe
```

Perform some steps to remove columns and fill in missing country
```{r}
starter_recipe %>% 
  step_rm(has_role("id")) %>% 
  step_corr(all_numeric())  %>% 
  step_bagimpute(country_code, seed_val = 42) %>% 
  step_other(country_code) %>%  
  step_zv(all_predictors())  %>% 
  prep(train_raw) ->
  filter_recipe

filter_recipe
```

```{r}
train_b <- bake(filter_recipe, newdata = train_raw) 
test_b  <- bake(filter_recipe, newdata = test_raw) 

train_b
```



Perform numeric standardisation steps.

```{r}
train_b %>% 
  recipe(any_purchase~.) %>% 
  step_center(all_numeric()) %>% 
  step_scale(all_numeric()) %>% 
  prep(train_b) ->
  standardise_recipe

standardise_recipe
```


```{r}
train_std <- bake(standardise_recipe, train_b) 
test_std  <- bake(standardise_recipe, test_b) 

train_std
```

## Oversample training purchases 
```{r}
set.seed(20180101)
filter_recipe %>% 
  step_upsample(all_outcomes(), ratio= .25) %>% 
  prep(retain=TRUE) %>% 
  juice() %>% 
  # hack because juice isn't reducing the column set
  bake(filter_recipe, .) ->
  train_up

print(paste("New rows:", nrow(train_up)- nrow(train_b)))
```

Now standardise it
```{r}
train_ups <- bake(standardise_recipe, train_up) 
```

## Synthesised training purchases 
```{r}
library(synthpop)
brent_dt %>% 
  filter(any_purchase=="TRUE") %>% 
  bake(filter_recipe,.) %>% 
  syn(k=30000)  ->
  synth_purchases

synth_purchases %>% 
  pluck("syn") %>% 
  union(train_b) %>% 
  sample_n(nrow(.)) ->
  train_syn
```

```{r}
train_syn_std<- bake(standardise_recipe,train_syn) 
```

## Preparing
We'll want to build models against our training sets so let's save some code by making a big list we can map models to.

```{r}
train_sets<-list(
  "Basic"=train_b,
  "Standardised"=train_std,
  "Upsampled"=train_up,
  "Upsampled & Standardised"=train_ups,
  "Synthesised"=train_syn,
  "Synthesised & Standardised" =train_syn_std
)
```

Let's remove a high RAM object.

```{r}
rm("filter_recipe")
```

# Models - Basic glms
```{r  eval=do_glm, echo=TRUE}
library(broom)
library(ggplot2)
train_sets %>% 
  map(~glm(any_purchase~  member_rating+ First.Responder.Kit+ Unknown.recd+ Monday.Links...our.favorite.SQL...tech.news.from.the.week+ weekday_open_prop + weekday_clicks_prop, 
           data=.,
           family="binomial",
           y=FALSE,x=FALSE,model=FALSE))  ->
  basic_glm

saveRDS(basic_glm, "../outputs/glms.rds")
```

```{r eval=!do_glm, echo=FALSE}
basic_glm<-read_rds("../outputs/glms.rds")
```

```{r fig.width=10}
basic_glm %>% 
  map_df(tidy, .id = "set") %>% 
  filter(term!="(Intercept)") %>% 
  ggplot(aes(x=term, y=estimate, colour=set)) +
  geom_point(alpha=.5, size=3)  +
  coord_flip() +
  ggthemes::theme_fivethirtyeight()+
  geom_hline(aes(yintercept=0), colour="darkgrey", linetype="dashed")
```

Attributes with values consistently above 0 (dashed line) increase likelihood to buy training, and those below reduce the likelihood. The further away from the 0, the greater the impact. 

```{r}
library(optiRum)
vals_to_conv<-seq(-1.5,1,by=0.5)
data_frame(Coefficient=vals_to_conv,
           `Odds Ratio (p/p-1)`= round(logit.odd(vals_to_conv),2),
           `Probability` = round(logit.prob(vals_to_conv),2))
```

# Models - Basic tree models
```{r eval=do_trees, echo=TRUE}
library(FFTrees)
train_sets %>% 
  map(~dplyr::select(mutate(., any_purchase=as.logical(any_purchase)),
              member_rating:weekend_open_prop, 
              holiday_clicks_prop:weekend_clicks_prop)) %>% 
  map(~FFTrees(any_purchase~., .,
               goal="bacc",do.comp = FALSE,progress = FALSE)) ->
  basic_trees
saveRDS(basic_trees, "../outputs/trees.rds")
```

```{r eval=!do_glm, echo=FALSE}
basic_trees<-read_rds("../outputs/trees.rds")
```

```{r}
basic_trees %>% 
  map_df(~cbind(.$tree.definitions,.$tree.stats$train),.id = "set") ->
  basic_tree_results

basic_tree_results
```



The chart shows different trees built using the different data sets and the balanced accuracy measure. Balanced accuracy is average of the proportion of purchases correctly classified and the proportion of non-purchases correctly classified.
```{r fig.width=10}
basic_tree_results %>% 
  ggplot(aes(x=cues, y=bacc, colour=set)) +
  geom_point(alpha=.5, size=3)  +
  coord_flip() +
  ggthemes::theme_fivethirtyeight()
```

We can look at the difference between the correctly classified purchases (red) and the correctly classified non-purchases (grey) for the trees with the highest balanced accuracy. There's two visible cases:

1. high accuracy for purchases and low accuracy for non-purchases 
2. OK accuracy for purchases and good accuracy for non-purchases

Selection one of these would depend on the cost of the low accuracy for non-purchases.

```{r fig.width=10}
basic_tree_results %>% 
  top_n(10, bacc) %>% 
  mutate(cues=stringr::str_wrap(stringr::str_replace_all(cues,";", " "),1)) %>% 
  dplyr::select(cues, sens, spec, set) %>% 
  ggplot(aes(x=set, y=spec, ymax=sens, ymin=spec)) +
  geom_pointrange(alpha=0.3, size=2)+
  geom_point(aes(y=sens), colour="red", size=6)+
  facet_wrap(~cues, ncol=4)+
  ggthemes::theme_fivethirtyeight()
```


# Models - glmnets

glmnets take all our variables and construct a model with them. However, a model with `r ncol(test_b)-1` coefficients would be pretty crazy. Instead `glmnet` downweights coefficients towards 0 as it penalises complexity. As such, even though our model notionally contains all our columns not everything will contribute.


```{r eval=do_glmnets}
library(glmnet)
library(glmnetUtils)
train_sets %>% 
  map(~cv.glmnet(any_purchase~., data=. ,
              family = "binomial",type.measure="class",
              standardize = FALSE)) ->
  basic_glmnets

saveRDS(basic_glmnets, "../outputs/glmnets.rds")
```

```{r eval=!do_glmnets, echo=FALSE}
basic_glmnets<-read_rds("../outputs/glmnets.rds")
```

```{r fig.height=15}
basic_glmnets %>% 
  map_df(~rownames_to_column(as.data.frame(as.matrix(coefficients(.))),"col"),.id = "set" ) %>% 
  rename(coef=`1`) -> 
  basic_glmnet_coefs

basic_glmnet_coefs %>% 
  filter(coef!=0.000000e+00) %>% 
  filter(col!="(Intercept)") %>% 
  arrange(col) %>% 
  count(col) %>% 
  mutate( pane = row_number() %/% 38) ->
  panes
  
basic_glmnet_coefs %>% 
  inner_join(panes) %>% 
  arrange(desc(col)) %>% 
  mutate(col=fct_inorder(col)) %>% 
  ggplot(aes(x=col, y=coef, colour=set)) +
  geom_point() + 
  coord_flip()+
  facet_wrap(~pane,scales = "free", ncol=5)+
  ggthemes::theme_fivethirtyeight()
```

The non-standardised types of samples do not work well with glmnet and typically it would have scaled them. We can see which columns (primarily in the standardised samples) make it our models most commonly. These will be the most predictive columns overall.
```{r fig.height=15}
panes %>% 
  arrange(desc(n)) %>% 
  mutate(col=fct_inorder(col)) %>% 
  mutate( pane = row_number() %/% 38) %>% 
  arrange(desc(col)) %>% 
  mutate(col=fct_inorder(col)) %>% 
  ggplot(aes(x=col, y=n)) +
  geom_col() + 
  coord_flip()+
  facet_wrap(~pane, ncol=5, scales = "free_y")+
  ggthemes::theme_fivethirtyeight()
```


# Models - Complex models via h2o

```{r eval=do_automl}
library(h2o)
options("h2o.use.data.table"=TRUE)
h2o.init(max_mem_size = "8G")
train_sets %>% 
  map(as.h2o) %>% 
  map(~h2o.automl(y = "any_purchase", training_frame = ., seed = 1313, max_runtime_secs = 180)) ->
  basic_automl

saveRDS(basic_automl, "../outputs/automl.rds")
```

```{r eval=!do_glmnets, echo=FALSE}
basic_automl<-read_rds("../outputs/automl.rds")
```

```{r}
basic_automl %>% 
  map_df(~as.data.frame(.@leaderboard), .id="set")  ->
  automl_highlevel_results
```

# Evaluation
